A generalized KKMF principle

Hichem Ben-El-Mechaiekh, Souhail Chebbi () and Monique Florenzano
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Hichem Ben-El-Mechaiekh: Department of Computer Science, Mathematics, and Statistics - American University of Sharjah
Souhail Chebbi: LEGI - Laboratoire d'Économie et de Gestion Industrielle [Tunis] - Ecole Polytechnique de Tunisie - UCAR - Université de Carthage (Tunisie) = University of Carthage

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: We present in this paper a generalized version of the celebrated Knaster–Kuratowski–Mazurkiewicz–Fan's principle on the intersection of a family of closed sets subject to a classical geometric condition and a weakened compactness condition. The fixed point formulation of this generalized principle extends the Browder–Fan fixed point theorem to set-valued maps of non-compact convex subsets of topological vector spaces.

Keywords: KKMF; principle (search for similar items in EconPapers)
Date: 2005-09
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Citations: View citations in EconPapers (6)

Published in Journal of Mathematical Analysis and Applications, 2005, 309 (2), pp.583-590. ⟨10.1016/j.jmaa.2004.10.025⟩

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Working Paper: A generalized KKMF principle (2005)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00310492

DOI: 10.1016/j.jmaa.2004.10.025

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